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Finding the Third Proportional to 118,662 and 260,658

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Solution

The third proportional to 118,662 and 260,658 is: 572,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,662 : 260,658 = 260,658 : x
  2. Step 2: Convert to fraction form
    118,662/260,658 = 260,658/x
  3. Step 3: Cross multiply
    118,662x = 260,658 × 260,658
  4. Step 4: Simplify right side
    118,662x = 67,942,592,964
  5. Step 5: Solve for x
    x = 67,942,592,964/118,662
  6. Step 6: Final answer
    x = 572,572.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.